Pith Number

pith:TOEFZ6AE

pith:2014:TOEFZ6AEZSIKL3UXCWYPMIMLCX

not attested not anchored not stored refs pending

Bounded gaps between primes

Ben Green

arxiv:1402.4849 v2 · 2014-02-19 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOEFZ6AEZSIKL3UXCWYPMIMLCX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:21.208849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b885cf804cc90a5ee9715b0f6218b15de1c69b51e8d4b98ff902f2aa4e09f85

Aliases

arxiv: 1402.4849 · arxiv_version: 1402.4849v2 · doi: 10.48550/arxiv.1402.4849 · pith_short_12: TOEFZ6AEZSIK · pith_short_16: TOEFZ6AEZSIKL3UX · pith_short_8: TOEFZ6AE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TOEFZ6AEZSIKL3UXCWYPMIMLCX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9b885cf804cc90a5ee9715b0f6218b15de1c69b51e8d4b98ff902f2aa4e09f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc729a7235c322de9e48e7e910673e38b12004304154e18bda53fa3ea0085e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-19T23:24:56Z",
    "title_canon_sha256": "b3e1c59bcece3f928e79ff2e3b1e62f47e778d4edfdb59f8cb956c0ae9256bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4849",
    "kind": "arxiv",
    "version": 2
  }
}